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Analysis of Toeplitz Operators

  • Albrecht Böttcher
  • Bernd Silbermann

Part of the Springer Monographs in Mathematics book series (SMM)

Table of contents

  1. Front Matter
    Pages 1-11
  2. Albrecht Böttcher, Bernd Silbermann
    Pages 13-46
  3. Albrecht Böttcher, Bernd Silbermann
    Pages 47-100
  4. Albrecht Böttcher, Bernd Silbermann
    Pages 101-151
  5. Albrecht Böttcher, Bernd Silbermann
    Pages 152-215
  6. Albrecht Böttcher, Bernd Silbermann
    Pages 216-247
  7. Albrecht Böttcher, Bernd Silbermann
    Pages 248-276
  8. Albrecht Böttcher, Bernd Silbermann
    Pages 277-338
  9. Albrecht Böttcher, Bernd Silbermann
    Pages 339-396
  10. Albrecht Böttcher, Bernd Silbermann
    Pages 397-428
  11. Albrecht Böttcher, Bernd Silbermann
    Pages 429-486
  12. Back Matter
    Pages 487-512

About this book

Introduction

This book was originally intended as an extended version of our book "Invertibility and Asymptotics of Toeplitz Matrices", which appeared in 1983. We planned to discuss several topics in more detail, but our main concern was to incorporate a whole series of new results obtained during the last few years. However, we soon realized that the program we had in mind required new thoughts from both the methodological and substantial point of view, and so we decided to attempt writing a completely new book on the analysis of Toeplitz operators. There are at least two reasons for the continuous and increasing interest in Toeplitz operators. On the one hand, Toeplitz operators are of importance in connection with a variety of problems in physics, probability theory, information and control theory, and several other fields. Although we shall not embark on these problems, the selection of the material of this book is to a certain extent determined by such applications. On the other hand, besides the differential operators, Toeplitz operators constitute one of the most important classes of non-selfadjoint operators and they are a fascinating example of the fruitful interplay between such topics as operator theory, function theory, and the theory of Banach algebras. One main purpose of this book is to elucidate some of the ideas and methods illustrating just the latter aspect.

Keywords

Banach algebra Hankel Projection method Singular integral Toeplitz operators Wiener-Hopf operators calculus operator theory

Authors and affiliations

  • Albrecht Böttcher
    • 1
  • Bernd Silbermann
    • 1
  1. 1.Sektion Mathematik, Wissenschaftsbereich AnalysisTechnische Universität ChemnitzChemnitzGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-02652-6
  • Copyright Information Springer-Verlag Berlin Heidelberg 1990
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-662-02654-0
  • Online ISBN 978-3-662-02652-6
  • Series Print ISSN 1439-7382
  • Buy this book on publisher's site